Geometric Newton-Raphson methods for plane curves

Valasek Gábor and Horváth Júlia and Jámbori András and Sallai Levente: Geometric Newton-Raphson methods for plane curves. In: Acta cybernetica, (21) 1. pp. 191-201. (2013)

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Abstract

Our paper reviews Kallay's results on a geometric version of the classic Newton-Raphson method, in the context of plane curve queries, e.g. curve-curve intersection, point-curve distance computation. Variants of the geometric Newton-Raphson methods are proposed and empirically verified.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2013
Volume: 21
Number: 1
ISSN: 0324-721X
Page Range: pp. 191-201
Language: English
Place of Publication: Szeged
Related URLs: http://acta.bibl.u-szeged.hu/38535/
DOI: 10.14232/actacyb.21.1.2013.14
Uncontrolled Keywords: Matematika, Számítástechnika, Kibernetika
Additional Information: Összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
01. Natural sciences > 01.02. Computer and information sciences
Date Deposited: 2016. Oct. 17. 10:38
Last Modified: 2022. Jun. 17. 15:55
URI: http://acta.bibl.u-szeged.hu/id/eprint/30858

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